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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 290 · 40 sums
TalentJR

The trick (Ekadhikena Purvena): 2, 5, 10: the last digit (even; 0 or 5; 0). 3 and 9: add the digits. 4: the last two digits. 8: the last three digits. 6: even and passes the rule for 3. 11: from the right, add the 1st, 3rd, 5th… digits and the 2nd, 4th… digits; the difference must be 0 or a multiple of 11. Any prime p: multiply p by 1, 3, 7 or 9 so it ends in 9; one more than the digits before the 9 is the osculator (7 → 5, 13 → 4, 17 → 12, 19 → 2, 23 → 7, 29 → 3). Take the last digit × the osculator and add it to the rest; repeat until the number is small and check the times table. Composite numbers: split into two factors that share no factor and pass BOTH rules — 6 = 2 × 3, 12 = 3 × 4, 15 = 3 × 5, 18 = 2 × 9, 20 = 4 × 5, 24 = 3 × 8, 30 = 3 × 10.

NameDateTime takenScore ___ / 40
  1. 1.Is 161592 divisible by 24?
  2. 2.Is 24046 divisible by 5?
  3. 3.Is 73655 divisible by 12?
  4. 4.Is 11083 divisible by 7?
  5. 5.Is 2876 divisible by 4?
  6. 6.Is 2328 divisible by 20?
  7. 7.Is 25808 divisible by 4?
  8. 8.Is 8464 divisible by 15?
  9. 9.Is 33427 divisible by 11?
  10. 10.Is 65001 divisible by 10?
  11. 11.Is 23100 divisible by 11?
  12. 12.Is 408 divisible by 2?
  13. 13.Is 24668 divisible by 4?
  14. 14.Is 74934 divisible by 23?
  15. 15.Is 3720 divisible by 6?
  16. 16.Is 118082 divisible by 20?
  17. 17.Is 30416 divisible by 19?
  18. 18.Is 16891 divisible by 19?
  19. 19.Is 8818 divisible by 4?
  20. 20.Is 34037 divisible by 23?
  21. 21.Is 47729 divisible by 7?
  22. 22.Is 12408 divisible by 11?
  23. 23.Is 30424 divisible by 8?
  24. 24.Is 163590 divisible by 30?
  25. 25.Is 94506 divisible by 20?
  26. 26.Is 69468 divisible by 12?
  27. 27.Is 12445 divisible by 5?
  28. 28.Is 33502 divisible by 30?
  29. 29.Is 26388 divisible by 4?
  30. 30.Is 35976 divisible by 13?
  31. 31.Is 22623 divisible by 7?
  32. 32.Is 47477 divisible by 24?
  33. 33.Is 25617 divisible by 10?
  34. 34.Is 460 divisible by 8?
  35. 35.Is 30707 divisible by 11?
  36. 36.Is 14937 divisible by 13?
  37. 37.Is 12474 divisible by 7?
  38. 38.Is 24528 divisible by 7?
  39. 39.Is 50106 divisible by 15?
  40. 40.Is 59939 divisible by 12?

Answer key

  1. yes
  2. no
  3. no
  4. no
  5. yes
  6. no
  7. yes
  8. no
  9. no
  10. no
  11. yes
  12. yes
  13. yes
  14. yes
  15. yes
  16. no
  17. no
  18. yes
  19. no
  20. no
  21. no
  22. yes
  23. yes
  24. yes
  25. no
  26. yes
  27. yes
  28. no
  29. yes
  30. no
  31. no
  32. no
  33. no
  34. no
  35. no
  36. yes
  37. yes
  38. yes
  39. no
  40. no

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